Answer
$2a^{2}(4a-b)(3a+2b)$
Work Step by Step
$24a^{4}+10a^{3}b-4a^{2}b^{2}$
1. Factor the expression:
$2a^{2}(12a^{2}+5ab-2b^{2})$
2. Write as a sum or difference:
$2a^{2}(12a^{2}+8ab-3ab-2b^{2})$
3. Factor the expressions by taking out a 4a and -b:
$2a^{2}(4a(3a+2b)-b((a+2b))$
4. Factor the expression to get your answer:
$2a^{2}(4a-b)(3a+2b)$
